Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3292, 7728 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3292, 7728 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3292, 7728 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3292, 7728 is 4.
HCF(3292, 7728) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3292, 7728 is 4.
Step 1: Since 7728 > 3292, we apply the division lemma to 7728 and 3292, to get
7728 = 3292 x 2 + 1144
Step 2: Since the reminder 3292 ≠ 0, we apply division lemma to 1144 and 3292, to get
3292 = 1144 x 2 + 1004
Step 3: We consider the new divisor 1144 and the new remainder 1004, and apply the division lemma to get
1144 = 1004 x 1 + 140
We consider the new divisor 1004 and the new remainder 140,and apply the division lemma to get
1004 = 140 x 7 + 24
We consider the new divisor 140 and the new remainder 24,and apply the division lemma to get
140 = 24 x 5 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3292 and 7728 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(140,24) = HCF(1004,140) = HCF(1144,1004) = HCF(3292,1144) = HCF(7728,3292) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3292, 7728?
Answer: HCF of 3292, 7728 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3292, 7728 using Euclid's Algorithm?
Answer: For arbitrary numbers 3292, 7728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.